princessssp princessssp
  • 24-04-2019
  • Mathematics
contestada

Fine the maximum and minimum values of the function y= -cos8x

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znk
znk znk
  • 24-04-2019

Answer:

[tex]\boxed{ \text{Min. = -1; max. = 1}}\\[/tex]

Step-by-step explanation:

The value of cosx ranges from -1 to 1, so -cosx ranges from 1 to -1.

The minimum value is -1, and the maximum value is +1.

[tex]\boxed{ \textbf{Min. = -1; max. = 1}}\\[/tex]

The number 8 in the argument does not affect the amplitude of the wave. It affects only the frequency.

In the diagram, both y = -cos8x (purple) and y = -cosx (black) range from -1 to +1, but the purple cosine curve has eight times the frequency of the black one.

Ver imagen znk
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